# How do you find the solution to the quadratic equation 5d^2 = d (d+3)?

Aug 12, 2018

First get rid of the parentheses on the right side

#### Explanation:

$\to 5 {d}^{2} = {d}^{2} + 3 d$

Put everything to one side:
$\to 5 {d}^{2} - {d}^{2} - 3 d = 0 \to 4 {d}^{2} - 3 d = 0$

This can be factorized:
$\to d \left(4 d - 3\right) = 0$

(1) $d = 0$
(2) $4 d - 3 = 0 \to 4 d = 3 \to d = 3 / 4$